Asymptotic behaviour

of Castelnuovo-Mumford regularity

Author:
Vijay Kodiyalam

Journal:
Proc. Amer. Math. Soc. **128** (2000), 407-411

MSC (1991):
Primary 13D02; Secondary 13D40

DOI:
https://doi.org/10.1090/S0002-9939-99-05020-0

Published electronically:
July 6, 1999

MathSciNet review:
1621961

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let be a polynomial ring over a field. For a graded -module generated in degree at most , the Castelnuovo-Mumford regularity of each of (i) its symmetric power, (ii) its torsion-free symmetric power and (iii) the integral closure of its torsion-free symmetric power is bounded above by a linear function in with leading coefficient at most . For a graded ideal of , the regularity of is given by a linear function of for all sufficiently large . The leading coefficient of this function is identified.

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Additional Information

**Vijay Kodiyalam**

Affiliation:
The Institute of Mathematical Sciences, Chennai, India 600113

Email:
vijay@imsc.ernet.in

DOI:
https://doi.org/10.1090/S0002-9939-99-05020-0

Received by editor(s):
October 28, 1997

Received by editor(s) in revised form:
April 15, 1998

Published electronically:
July 6, 1999

Communicated by:
Wolmer V. Vasconcelos

Article copyright:
© Copyright 1999
American Mathematical Society